results: reproduce physical structured-bias scaling

3 files changed, 1498 insertions, 0 deletions

diff --git a/results/figs/physical_bias_p0.png b/results/figs/physical_bias_p0.png
new file mode 100644
index 0000000..0d5dbb3
--- /dev/null
+++ b/results/figs/physical_bias_p0.png
diff --git a/results/figs/physical_bias_p0_caption.md b/results/figs/physical_bias_p0_caption.md
new file mode 100644
index 0000000..0e8fe9a
--- /dev/null
+++ b/results/figs/physical_bias_p0_caption.md
@@ -0,0 +1,13 @@
+**Published physical structured-bias reproduction.** All panels are regenerated
+from the raw small-network files released by Dillavou et al. in Zenodo record
+`15692914` (release `v1.0.1`). **A,** Combined learning error approaches a
+nonzero low-period plateau in three physical experiments. Fits to the lowest
+six periods have log--log slopes `0.062`, `0.288`, and `-0.024`. **B,** Squared
+cycle span grows approximately quadratically with switching period over the
+same points (slopes `1.837`, `1.736`, and `1.947`; dashed lines show quadratic
+references). **C,** The resulting span-per-period proxy remains finite at
+short periods, as expected for deterministic drift that is not removed by
+faster alternation. **D,** Released gate-voltage trajectories from physical
+experiment 1 show the measured bias-driven cycles. This is a descriptive
+reanalysis of published hardware data, not evidence that SDIL corrects the
+bias.
diff --git a/results/physical_bias/p0_summary.json b/results/physical_bias/p0_summary.json
new file mode 100644
index 0000000..28dc20c
--- /dev/null
+++ b/results/physical_bias/p0_summary.json
@@ -0,0 +1,1485 @@
+{
+  "analysis": "published_physical_bias_descriptive_reproduction",
+  "confirmatory": false,
+  "provenance": {
+    "zenodo_record": "15692914",
+    "doi": "10.5281/zenodo.15692914",
+    "release": "v1.0.1",
+    "source_tree": "maguzj-imperfect-learning-physical-systems-71b8d72"
+  },
+  "fit_definition": {
+    "points": 6,
+    "selection": "lowest task-switching periods in each published table",
+    "regression": "ordinary least squares on log(period), log(metric)"
+  },
+  "experiments": {
+    "1": {
+      "period": [
+        0.0006,
+        0.0008,
+        0.0012,
+        0.002,
+        0.0032,
+        0.005,
+        0.008,
+        0.0126,
+        0.02,
+        0.0316,
+        0.0502,
+        0.0796,
+        0.1262,
+        0.2,
+        0.317,
+        0.5024,
+        0.7962,
+        1.262,
+        2.0
+      ],
+      "combined_error": [
+        4.51539052715704e-05,
+        4.61588719846355e-05,
+        4.47481113096561e-05,
+        4.55506188865266e-05,
+        4.98588861768166e-05,
+        5.16620668568295e-05,
+        5.27371372583955e-05,
+        5.73028011306567e-05,
+        6.74968388125026e-05,
+        9.85202409937484e-05,
+        0.000165859458671063,
+        0.000322053243437773,
+        0.000689422902018986,
+        0.00159712239092084,
+        0.00180493157232454,
+        0.00180591693725581,
+        0.00180606971769925,
+        0.00180661690553345,
+        0.00185570706939807
+      ],
+      "cycle_span_squared": [
+        2.35134760260328e-05,
+        4.05280533158153e-05,
+        8.19177276868164e-05,
+        0.000203773704691677,
+        0.000495231820479515,
+        0.00119176758205252,
+        0.0030435629035797,
+        0.00736085607911876,
+        0.0176759218463399,
+        0.04378340722672,
+        0.110932133926185,
+        0.31742736301127,
+        0.980395117721945,
+        3.6392520804208,
+        4.88356705964276,
+        4.96702439198189,
+        4.96428099704498,
+        4.98633676793855,
+        4.97453750973931
+      ],
+      "low_period_points": 6,
+      "low_period_combined_error_log_slope": 0.061871046531009194,
+      "low_period_span_squared_log_slope": 1.8373743444902582,
+      "low_period_span_log_slope": 0.9186871722451291,
+      "low_period_speed_proxy": [
+        8.081782673607627,
+        7.957705907229885,
+        7.542367724635449,
+        7.137466369302152,
+        6.954313946659486,
+        6.904397387325036
+      ],
+      "low_period_speed_proxy_mean": 7.429672334793271,
+      "low_period_speed_proxy_cv": 0.06274783134192093,
+      "source_files": {
+        "combined_error": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-MSE-exp1.csv",
+          "sha256": "edaf7aa732824ea799e7d5711ddfa340a19aae6943dc77c4dbcfb74a4d67f7c9"
+        },
+        "cycle_span_squared": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-DG2-exp1.csv",
+          "sha256": "b614627f5a306d6e1b2026fc558115ede225466c9786ee4a4b2bede43be3044e"
+        }
+      }
+    },
+    "2": {
+      "period": [
+        0.0006,
+        0.0008,
+        0.0012,
+        0.002,
+        0.0032,
+        0.005,
+        0.008,
+        0.0126,
+        0.02,
+        0.0316,
+        0.0502,
+        0.0796,
+        0.1262,
+        0.2,
+        0.317,
+        0.5024,
+        0.7962,
+        1.262,
+        2.0
+      ],
+      "combined_error": [
+        5.26175823544804e-06,
+        9.04712342457534e-06,
+        1.12874800025047e-05,
+        1.20095854497768e-05,
+        1.21824411319321e-05,
+        1.11316161005672e-05,
+        1.01378114256191e-05,
+        9.63294038082661e-06,
+        9.68166589433672e-06,
+        1.4986425544513e-05,
+        1.72663956974471e-05,
+        3.62695105054409e-05,
+        8.83699006420721e-05,
+        0.000177377007356843,
+        0.000217805527627104,
+        0.000241059241809202,
+        0.000290683984651889,
+        0.000376698768150252,
+        0.000377831141293383
+      ],
+      "cycle_span_squared": [
+        5.67824532369051e-06,
+        4.48303060713692e-06,
+        9.94668351708421e-06,
+        3.05560088771082e-05,
+        7.14787821782058e-05,
+        0.000160766133577045,
+        0.000377278824284651,
+        0.000858886163125791,
+        0.00236830690608968,
+        0.00559307814663573,
+        0.0149754892860777,
+        0.0398064180451944,
+        0.142431388635007,
+        0.366388711231736,
+        0.466280946600218,
+        0.578282095395273,
+        0.900495264278173,
+        1.48936660603378,
+        1.56634328974603
+      ],
+      "low_period_points": 6,
+      "low_period_combined_error_log_slope": 0.2882539659321607,
+      "low_period_span_squared_log_slope": 1.7359736925037077,
+      "low_period_span_log_slope": 0.8679868462518538,
+      "low_period_speed_proxy": [
+        3.971511510359511,
+        2.646646051826998,
+        2.62819693118424,
+        2.7638744941254205,
+        2.642035166702065,
+        2.535871712662492
+      ],
+      "low_period_speed_proxy_mean": 2.8646893111434544,
+      "low_period_speed_proxy_cv": 0.1743286323810085,
+      "source_files": {
+        "combined_error": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-MSE-exp2.csv",
+          "sha256": "33469c652e56ea4a2d62c87996c8229b9ffd8b86dc4eb67b54fe1cdeb5fe4e92"
+        },
+        "cycle_span_squared": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-DG2-exp2.csv",
+          "sha256": "054cad8920323d648879dcc0823067ca12b8cb04f389f33adb8de61515c2db4a"
+        }
+      }
+    },
+    "3": {
+      "period": [
+        0.0004,
+        0.0008,
+        0.0012,
+        0.0016,
+        0.0024,
+        0.004,
+        0.0064,
+        0.01,
+        0.016,
+        0.0252,
+        0.04,
+        0.0632,
+        0.1004,
+        0.1592,
+        0.2524,
+        0.4,
+        0.634,
+        1.0048,
+        1.5924,
+        2.524,
+        4.0,
+        6.3396,
+        10.0476,
+        15.9244,
+        25.2384,
+        40.0,
+        63.3956
+      ],
+      "combined_error": [
+        7.08477085132878e-05,
+        6.92795216098303e-05,
+        6.83267856567365e-05,
+        6.74164648769547e-05,
+        6.78771406253706e-05,
+        6.70562938987981e-05,
+        6.72207610700686e-05,
+        6.80809279240339e-05,
+        6.81611466344334e-05,
+        7.0603330202846e-05,
+        7.7569132710239e-05,
+        9.14813474774272e-05,
+        0.00010901145727023,
+        0.000122838004477679,
+        0.000130761932623986,
+        0.000136097207646364,
+        0.000141576011637553,
+        0.000156707768446928,
+        0.00021310258565499,
+        0.000399193244970051,
+        0.000962112160390191,
+        0.00111873176844371,
+        0.00110553394395131,
+        0.0011001173722767,
+        0.00109111583401839,
+        0.00109311679774915,
+        0.00112891389333747
+      ],
+      "cycle_span_squared": [
+        3.74261267890472e-06,
+        1.68684138405315e-05,
+        3.03577469139011e-05,
+        6.07634760416401e-05,
+        0.00011764938942797,
+        0.00035758402128282,
+        0.000875421096702711,
+        0.00210542755481049,
+        0.00519205139730942,
+        0.0125419909032191,
+        0.028918150946963,
+        0.0586238027811135,
+        0.0914549752394059,
+        0.112974660934772,
+        0.134329710324604,
+        0.174142416450411,
+        0.263703255146455,
+        0.474979261490892,
+        1.02584286065101,
+        2.19952761756218,
+        4.04100259631176,
+        4.44527726675857,
+        4.43245389482504,
+        4.41342438606462,
+        4.38825289802854,
+        4.32799760427928,
+        4.49794408275721
+      ],
+      "low_period_points": 6,
+      "low_period_combined_error_log_slope": -0.02350626081957371,
+      "low_period_span_squared_log_slope": 1.9468041519016315,
+      "low_period_span_log_slope": 0.9734020759508157,
+      "low_period_speed_proxy": [
+        4.836458336753714,
+        5.133896826566587,
+        4.591488722648581,
+        4.8719331716235255,
+        4.519429302482083,
+        4.727473038545672
+      ],
+      "low_period_speed_proxy_mean": 4.78011323310336,
+      "low_period_speed_proxy_cv": 0.04210718111029523,
+      "source_files": {
+        "combined_error": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-MSE-exp3.csv",
+          "sha256": "2805cc1b0c823889fb5fa25302f92abf4cb93f392c8776cbf4258715451fd9c8"
+        },
+        "cycle_span_squared": {
+          "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/MSE-DG2-Data/measured-DG2-exp3.csv",
+          "sha256": "c9e7dfc3fa94668b7c246a550b2ad9d741fc791cf4ffa8b6bd9ed60201581dc4"
+        }
+      }
+    }
+  },
+  "bowtie_trajectories": [
+    {
+      "experiment": 1,
+      "period_seconds": 0.02,
+      "samples": 61,
+      "diameter": 0.1470897005231843,
+      "half_cycle_span": 0.13877204329402962,
+      "path_length": 0.2915892022478569,
+      "trajectory": [
+        [
+          2.498,
+          2.4964,
+          2.4921,
+          2.485,
+          2.4806,
+          2.4767,
+          2.4707,
+          2.4672,
+          2.4624,
+          2.4584,
+          2.455,
+          2.451,
+          2.4479,
+          2.4453,
+          2.4416,
+          2.439,
+          2.4357,
+          2.4336,
+          2.4311,
+          2.4272,
+          2.4269,
+          2.4244,
+          2.4219,
+          2.4197,
+          2.4178,
+          2.416,
+          2.4144,
+          2.4127,
+          2.4115,
+          2.4109,
+          2.4082,
+          2.4078,
+          2.4108,
+          2.4165,
+          2.4207,
+          2.4252,
+          2.4302,
+          2.4345,
+          2.4385,
+          2.4436,
+          2.4478,
+          2.4527,
+          2.4558,
+          2.4591,
+          2.4637,
+          2.4656,
+          2.4694,
+          2.4731,
+          2.4775,
+          2.4806,
+          2.4833,
+          2.4867,
+          2.4905,
+          2.4925,
+          2.496,
+          2.498,
+          2.5017,
+          2.5044,
+          2.5079,
+          2.5102,
+          2.5131
+        ],
+        [
+          2.7664,
+          2.7686,
+          2.7731,
+          2.7787,
+          2.783,
+          2.7872,
+          2.7921,
+          2.7955,
+          2.802,
+          2.8041,
+          2.8084,
+          2.813,
+          2.8164,
+          2.8202,
+          2.824,
+          2.8268,
+          2.8313,
+          2.8342,
+          2.8376,
+          2.8412,
+          2.8441,
+          2.8468,
+          2.8503,
+          2.8528,
+          2.8565,
+          2.8586,
+          2.8618,
+          2.8649,
+          2.8673,
+          2.8702,
+          2.8722,
+          2.8741,
+          2.8709,
+          2.8634,
+          2.8582,
+          2.8534,
+          2.8472,
+          2.8427,
+          2.8389,
+          2.8338,
+          2.8291,
+          2.824,
+          2.8207,
+          2.8171,
+          2.8123,
+          2.8086,
+          2.806,
+          2.8025,
+          2.7998,
+          2.7958,
+          2.7938,
+          2.7912,
+          2.7881,
+          2.7859,
+          2.7835,
+          2.781,
+          2.7786,
+          2.7756,
+          2.7747,
+          2.7732,
+          2.7714
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp1-0.02s.csv",
+        "sha256": "33f9c0dca64319024d4e25e39189cba62e8af547f7ea2c2abf5ef5c46a599409"
+      }
+    },
+    {
+      "experiment": 1,
+      "period_seconds": 0.08,
+      "samples": 61,
+      "diameter": 0.5734492915681384,
+      "half_cycle_span": 0.5665384717739826,
+      "path_length": 1.2080171657552776,
+      "trajectory": [
+        [
+          2.5401,
+          2.544,
+          2.5793,
+          2.612,
+          2.6382,
+          2.6648,
+          2.6864,
+          2.707,
+          2.7251,
+          2.7425,
+          2.7576,
+          2.7728,
+          2.7855,
+          2.7976,
+          2.8093,
+          2.8195,
+          2.8307,
+          2.8392,
+          2.8485,
+          2.8579,
+          2.866,
+          2.8736,
+          2.8803,
+          2.8893,
+          2.8961,
+          2.9029,
+          2.9107,
+          2.9174,
+          2.9246,
+          2.9306,
+          2.9391,
+          2.9408,
+          2.9084,
+          2.8532,
+          2.8091,
+          2.7682,
+          2.7339,
+          2.7034,
+          2.6772,
+          2.6528,
+          2.6342,
+          2.6155,
+          2.6005,
+          2.5897,
+          2.5798,
+          2.5705,
+          2.5624,
+          2.5556,
+          2.5514,
+          2.547,
+          2.5442,
+          2.5415,
+          2.5402,
+          2.5384,
+          2.5375,
+          2.538,
+          2.5381,
+          2.54,
+          2.5409,
+          2.543,
+          2.5444
+        ],
+        [
+          3.3124,
+          3.3058,
+          3.2515,
+          3.1995,
+          3.1595,
+          3.1207,
+          3.0883,
+          3.059,
+          3.0354,
+          3.0129,
+          2.9948,
+          2.9799,
+          2.9651,
+          2.9532,
+          2.9435,
+          2.9348,
+          2.9286,
+          2.9226,
+          2.9176,
+          2.9128,
+          2.9105,
+          2.908,
+          2.9047,
+          2.9044,
+          2.9036,
+          2.9033,
+          2.905,
+          2.9063,
+          2.9072,
+          2.9091,
+          2.9102,
+          2.912,
+          2.933,
+          2.9705,
+          2.9999,
+          3.0288,
+          3.0529,
+          3.0764,
+          3.0965,
+          3.1146,
+          3.1318,
+          3.1478,
+          3.1617,
+          3.175,
+          3.1877,
+          3.1986,
+          3.2103,
+          3.2208,
+          3.2307,
+          3.2393,
+          3.2486,
+          3.257,
+          3.2645,
+          3.274,
+          3.2817,
+          3.2888,
+          3.2967,
+          3.3033,
+          3.3099,
+          3.3198,
+          3.3262
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp1-0.08s.csv",
+        "sha256": "4b16b460076273a7896992453e1082f9b440637738232a183f8b9a841c42baef"
+      }
+    },
+    {
+      "experiment": 1,
+      "period_seconds": 0.2,
+      "samples": 61,
+      "diameter": 1.91693964432895,
+      "half_cycle_span": 1.9135862562215487,
+      "path_length": 4.253149909722854,
+      "trajectory": [
+        [
+          3.1283,
+          3.1368,
+          3.3305,
+          3.4845,
+          3.61,
+          3.7122,
+          3.791,
+          3.8589,
+          3.9148,
+          3.963,
+          4.0022,
+          4.0377,
+          4.0701,
+          4.0977,
+          4.1231,
+          4.1472,
+          4.17,
+          4.191,
+          4.2117,
+          4.2327,
+          4.2527,
+          4.2729,
+          4.292,
+          4.3114,
+          4.3314,
+          4.3505,
+          4.3704,
+          4.3892,
+          4.4088,
+          4.4274,
+          4.4477,
+          4.4559,
+          4.2581,
+          3.9492,
+          3.7193,
+          3.545,
+          3.4123,
+          3.3109,
+          3.2321,
+          3.174,
+          3.1333,
+          3.1035,
+          3.0813,
+          3.0669,
+          3.0569,
+          3.0517,
+          3.0483,
+          3.0487,
+          3.0513,
+          3.0546,
+          3.0587,
+          3.0646,
+          3.0692,
+          3.0751,
+          3.0824,
+          3.0877,
+          3.0954,
+          3.1018,
+          3.1089,
+          3.116,
+          3.1228
+        ],
+        [
+          4.9461,
+          4.9299,
+          4.5621,
+          4.2894,
+          4.0838,
+          3.9249,
+          3.8061,
+          3.7123,
+          3.6429,
+          3.5914,
+          3.5529,
+          3.5252,
+          3.5048,
+          3.4916,
+          3.4841,
+          3.4779,
+          3.4762,
+          3.4784,
+          3.4806,
+          3.4857,
+          3.4893,
+          3.4957,
+          3.5019,
+          3.5074,
+          3.5144,
+          3.5215,
+          3.5291,
+          3.537,
+          3.5443,
+          3.5521,
+          3.5601,
+          3.5633,
+          3.6727,
+          3.8532,
+          3.996,
+          4.1136,
+          4.2084,
+          4.2871,
+          4.3512,
+          4.405,
+          4.4484,
+          4.4884,
+          4.5228,
+          4.5537,
+          4.5827,
+          4.6086,
+          4.6339,
+          4.657,
+          4.6806,
+          4.7027,
+          4.7248,
+          4.7468,
+          4.7684,
+          4.7894,
+          4.8108,
+          4.8321,
+          4.853,
+          4.8729,
+          4.8942,
+          4.9141,
+          4.9342
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp1-0.2s.csv",
+        "sha256": "52c8ad1bcd4eec43709c2b10e2290908ba991a915042be6a6a5095502a94a1e5"
+      }
+    },
+    {
+      "experiment": 2,
+      "period_seconds": 0.02,
+      "samples": 61,
+      "diameter": 0.06861049482404213,
+      "half_cycle_span": 0.05593755446924718,
+      "path_length": 0.13899346386608116,
+      "trajectory": [
+        [
+          2.9135,
+          2.9116,
+          2.9106,
+          2.9087,
+          2.9064,
+          2.9047,
+          2.9022,
+          2.9008,
+          2.8988,
+          2.8974,
+          2.8956,
+          2.8951,
+          2.8928,
+          2.8924,
+          2.889,
+          2.8884,
+          2.8862,
+          2.8862,
+          2.885,
+          2.8824,
+          2.8816,
+          2.8809,
+          2.8798,
+          2.8789,
+          2.8784,
+          2.8784,
+          2.8769,
+          2.8772,
+          2.8738,
+          2.8758,
+          2.8745,
+          2.8753,
+          2.8777,
+          2.8797,
+          2.882,
+          2.8832,
+          2.8852,
+          2.8866,
+          2.8894,
+          2.8911,
+          2.8922,
+          2.8945,
+          2.896,
+          2.8974,
+          2.8998,
+          2.8999,
+          2.9017,
+          2.9038,
+          2.905,
+          2.9065,
+          2.9077,
+          2.9086,
+          2.9099,
+          2.9108,
+          2.9113,
+          2.9137,
+          2.9143,
+          2.9144,
+          2.9156,
+          2.9162,
+          2.9147
+        ],
+        [
+          4.1407,
+          4.1422,
+          4.1444,
+          4.1463,
+          4.1472,
+          4.1492,
+          4.1502,
+          4.1537,
+          4.1554,
+          4.1562,
+          4.1584,
+          4.1599,
+          4.1612,
+          4.1623,
+          4.1641,
+          4.1651,
+          4.1676,
+          4.168,
+          4.1686,
+          4.1689,
+          4.1698,
+          4.1714,
+          4.1728,
+          4.1736,
+          4.1739,
+          4.1759,
+          4.1764,
+          4.1788,
+          4.1767,
+          4.1806,
+          4.1808,
+          4.1812,
+          4.1788,
+          4.1753,
+          4.1726,
+          4.1701,
+          4.1673,
+          4.166,
+          4.1626,
+          4.1605,
+          4.1585,
+          4.1559,
+          4.1538,
+          4.152,
+          4.1499,
+          4.1488,
+          4.1476,
+          4.1446,
+          4.1439,
+          4.1409,
+          4.1405,
+          4.1389,
+          4.1375,
+          4.1359,
+          4.135,
+          4.1335,
+          4.1322,
+          4.1318,
+          4.1298,
+          4.1288,
+          4.1252
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp2-0.02s.csv",
+        "sha256": "aabf48648824c12eab4e619325731ea0b69d939662120e139c644cf828d5181b"
+      }
+    },
+    {
+      "experiment": 2,
+      "period_seconds": 0.08,
+      "samples": 61,
+      "diameter": 0.21533771151379816,
+      "half_cycle_span": 0.21425249123405768,
+      "path_length": 0.44566313881965536,
+      "trajectory": [
+        [
+          2.9425,
+          2.9445,
+          2.9578,
+          2.9709,
+          2.9816,
+          2.9916,
+          3.0011,
+          3.0092,
+          3.0156,
+          3.0234,
+          3.0291,
+          3.0347,
+          3.0385,
+          3.0441,
+          3.0476,
+          3.0519,
+          3.0546,
+          3.0578,
+          3.0603,
+          3.0634,
+          3.0651,
+          3.0676,
+          3.0689,
+          3.0694,
+          3.072,
+          3.0727,
+          3.0752,
+          3.0743,
+          3.0764,
+          3.0768,
+          3.0782,
+          3.0782,
+          3.0661,
+          3.0434,
+          3.0272,
+          3.0129,
+          3.0019,
+          2.9896,
+          2.9813,
+          2.9728,
+          2.9659,
+          2.9588,
+          2.9513,
+          2.9505,
+          2.9463,
+          2.9434,
+          2.9401,
+          2.9381,
+          2.9346,
+          2.9321,
+          2.9334,
+          2.9322,
+          2.9314,
+          2.9311,
+          2.9305,
+          2.9301,
+          2.93,
+          2.9287,
+          2.9295,
+          2.9308,
+          2.93
+        ],
+        [
+          4.3946,
+          4.3951,
+          4.3724,
+          4.3528,
+          4.3355,
+          4.3203,
+          4.3081,
+          4.2971,
+          4.2869,
+          4.2785,
+          4.2715,
+          4.2646,
+          4.2585,
+          4.2541,
+          4.2496,
+          4.2455,
+          4.2429,
+          4.2405,
+          4.2377,
+          4.2366,
+          4.2354,
+          4.2333,
+          4.232,
+          4.2309,
+          4.2313,
+          4.2295,
+          4.2288,
+          4.2286,
+          4.2284,
+          4.2289,
+          4.2288,
+          4.2274,
+          4.2365,
+          4.248,
+          4.2594,
+          4.2709,
+          4.2813,
+          4.2904,
+          4.2981,
+          4.3059,
+          4.3112,
+          4.3164,
+          4.319,
+          4.3274,
+          4.3324,
+          4.3362,
+          4.34,
+          4.3443,
+          4.346,
+          4.3496,
+          4.3546,
+          4.3566,
+          4.3585,
+          4.3615,
+          4.3639,
+          4.3658,
+          4.3679,
+          4.3678,
+          4.3712,
+          4.3723,
+          4.3729
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp2-0.08s.csv",
+        "sha256": "9605256a552e75e45923f5ca766b75b26575e2705a46cef6d5ba42d6894a70cd"
+      }
+    },
+    {
+      "experiment": 2,
+      "period_seconds": 0.2,
+      "samples": 61,
+      "diameter": 0.6164742411488096,
+      "half_cycle_span": 0.6160055275726024,
+      "path_length": 1.3454503348513838,
+      "trajectory": [
+        [
+          3.1883,
+          3.1921,
+          3.2706,
+          3.3287,
+          3.374,
+          3.409,
+          3.4347,
+          3.4565,
+          3.4705,
+          3.4879,
+          3.4992,
+          3.5091,
+          3.5172,
+          3.5245,
+          3.5315,
+          3.5364,
+          3.543,
+          3.5465,
+          3.5514,
+          3.5565,
+          3.5602,
+          3.5641,
+          3.5689,
+          3.5716,
+          3.5754,
+          3.5805,
+          3.5844,
+          3.5884,
+          3.5923,
+          3.596,
+          3.5998,
+          3.6015,
+          3.5319,
+          3.424,
+          3.3452,
+          3.2888,
+          3.2478,
+          3.2187,
+          3.1978,
+          3.1829,
+          3.1725,
+          3.1647,
+          3.1594,
+          3.1562,
+          3.1546,
+          3.1534,
+          3.1533,
+          3.1511,
+          3.1523,
+          3.1575,
+          3.1586,
+          3.1599,
+          3.1612,
+          3.1612,
+          3.1645,
+          3.1646,
+          3.1665,
+          3.1679,
+          3.1703,
+          3.1697,
+          3.1721
+        ],
+        [
+          5.0787,
+          5.0714,
+          4.9343,
+          4.8353,
+          4.7641,
+          4.7122,
+          4.6744,
+          4.6454,
+          4.6212,
+          4.6096,
+          4.5991,
+          4.5928,
+          4.5881,
+          4.5857,
+          4.5845,
+          4.5836,
+          4.5851,
+          4.5851,
+          4.5876,
+          4.5891,
+          4.592,
+          4.5941,
+          4.5961,
+          4.5997,
+          4.6023,
+          4.6052,
+          4.6076,
+          4.6099,
+          4.6138,
+          4.617,
+          4.6203,
+          4.6212,
+          4.6651,
+          4.736,
+          4.7894,
+          4.8287,
+          4.86,
+          4.8844,
+          4.9036,
+          4.9196,
+          4.9323,
+          4.9435,
+          4.9523,
+          4.9601,
+          4.9668,
+          4.9736,
+          4.9798,
+          4.982,
+          4.9873,
+          4.9959,
+          5.0007,
+          5.006,
+          5.0108,
+          5.0142,
+          5.0199,
+          5.0237,
+          5.0287,
+          5.0315,
+          5.0357,
+          5.0386,
+          5.0435
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp2-0.2s.csv",
+        "sha256": "1bf204eedaaf9287560dc1f0e05efdfb0f96cc946d4062bac8508f6f14101687"
+      }
+    },
+    {
+      "experiment": 3,
+      "period_seconds": 0.025,
+      "samples": 31,
+      "diameter": 0.11111458050139052,
+      "half_cycle_span": 0.10966868285887267,
+      "path_length": 0.21991622002275915,
+      "trajectory": [
+        [
+          3.1955,
+          3.1952,
+          3.1889,
+          3.1832,
+          3.179,
+          3.1729,
+          3.1681,
+          3.1635,
+          3.1584,
+          3.154,
+          3.1489,
+          3.1446,
+          3.1399,
+          3.1359,
+          3.1325,
+          3.1286,
+          3.1274,
+          3.1302,
+          3.1361,
+          3.143,
+          3.1502,
+          3.154,
+          3.1593,
+          3.1626,
+          3.1688,
+          3.1739,
+          3.1777,
+          3.1813,
+          3.1861,
+          3.1884,
+          3.1929
+        ],
+        [
+          2.8274,
+          2.8274,
+          2.837,
+          2.8429,
+          2.8514,
+          2.8585,
+          2.8655,
+          2.8726,
+          2.8791,
+          2.8833,
+          2.8901,
+          2.8955,
+          2.9,
+          2.9053,
+          2.9085,
+          2.9143,
+          2.9152,
+          2.9104,
+          2.9044,
+          2.8965,
+          2.8899,
+          2.883,
+          2.8762,
+          2.869,
+          2.8641,
+          2.8573,
+          2.8518,
+          2.846,
+          2.8407,
+          2.8353,
+          2.8306
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp3-0.025s.csv",
+        "sha256": "19e6cb4b1462604aa5fc336b4e8289896573031ce17aa98cacb0059cf9a386d0"
+      }
+    },
+    {
+      "experiment": 3,
+      "period_seconds": 0.1,
+      "samples": 30,
+      "diameter": 0.30129457346590227,
+      "half_cycle_span": 0.30129457346590227,
+      "path_length": 0.6180397497884059,
+      "trajectory": [
+        [
+          2.8639,
+          2.8664,
+          2.9051,
+          2.9339,
+          2.9631,
+          2.986,
+          3.0057,
+          3.0232,
+          3.0365,
+          3.0453,
+          3.0527,
+          3.0558,
+          3.0572,
+          3.0586,
+          3.0563,
+          3.0548,
+          3.0393,
+          3.014,
+          2.99,
+          2.97,
+          2.9507,
+          2.935,
+          2.9211,
+          2.9085,
+          2.8991,
+          2.8903,
+          2.8834,
+          2.8772,
+          2.8721,
+          2.8666
+        ],
+        [
+          2.8512,
+          2.8498,
+          2.8122,
+          2.7814,
+          2.7518,
+          2.7293,
+          2.7098,
+          2.6911,
+          2.6762,
+          2.6633,
+          2.6506,
+          2.6413,
+          2.6335,
+          2.6268,
+          2.6226,
+          2.6181,
+          2.6424,
+          2.6835,
+          2.721,
+          2.7524,
+          2.7772,
+          2.7993,
+          2.817,
+          2.8309,
+          2.8412,
+          2.8461,
+          2.8498,
+          2.8512,
+          2.8522,
+          2.8511
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp3-0.1s.csv",
+        "sha256": "06e8f6b6ce56d88ce79ebc8ecad6988996b925be49e27e565abdbac93c4b0db5"
+      }
+    },
+    {
+      "experiment": 3,
+      "period_seconds": 0.4,
+      "samples": 31,
+      "diameter": 0.4223168123577366,
+      "half_cycle_span": 0.4155559649433514,
+      "path_length": 1.0027263857716855,
+      "trajectory": [
+        [
+          2.9545,
+          2.9544,
+          2.8551,
+          2.7953,
+          2.765,
+          2.7447,
+          2.7284,
+          2.7121,
+          2.6949,
+          2.6785,
+          2.6616,
+          2.6468,
+          2.6305,
+          2.6139,
+          2.5983,
+          2.5819,
+          2.5727,
+          2.6609,
+          2.7756,
+          2.8385,
+          2.8676,
+          2.8817,
+          2.8943,
+          2.9044,
+          2.9141,
+          2.92,
+          2.9282,
+          2.935,
+          2.939,
+          2.9457,
+          2.9497
+        ],
+        [
+          2.5301,
+          2.5315,
+          2.694,
+          2.7736,
+          2.7936,
+          2.793,
+          2.7865,
+          2.7792,
+          2.7715,
+          2.7626,
+          2.7546,
+          2.747,
+          2.7389,
+          2.7307,
+          2.7233,
+          2.7141,
+          2.7106,
+          2.635,
+          2.5424,
+          2.4979,
+          2.4883,
+          2.4888,
+          2.4947,
+          2.4982,
+          2.5033,
+          2.508,
+          2.512,
+          2.5162,
+          2.5188,
+          2.5222,
+          2.5266
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp3-0.4s.csv",
+        "sha256": "fc7462ffc538a4dbf11bffebd05461decc9ac91ca8a1fce8f6b41a75d26bbb3c"
+      }
+    },
+    {
+      "experiment": 3,
+      "period_seconds": 1.592,
+      "samples": 31,
+      "diameter": 1.012848917657515,
+      "half_cycle_span": 0.9840851233506173,
+      "path_length": 2.3590400915697805,
+      "trajectory": [
+        [
+          2.9816,
+          2.9812,
+          2.7752,
+          2.7114,
+          2.6496,
+          2.5896,
+          2.5298,
+          2.47,
+          2.4104,
+          2.3514,
+          2.2932,
+          2.2345,
+          2.1771,
+          2.1198,
+          2.0617,
+          2.0063,
+          1.9793,
+          2.3303,
+          2.5771,
+          2.7141,
+          2.8043,
+          2.8653,
+          2.9075,
+          2.9356,
+          2.9528,
+          2.9638,
+          2.9705,
+          2.9745,
+          2.9767,
+          2.9792,
+          2.9798
+        ],
+        [
+          2.5509,
+          2.5523,
+          2.8096,
+          2.7806,
+          2.7487,
+          2.7199,
+          2.69,
+          2.6602,
+          2.6296,
+          2.6001,
+          2.5686,
+          2.5393,
+          2.5097,
+          2.4793,
+          2.4496,
+          2.4197,
+          2.4051,
+          2.2165,
+          2.295,
+          2.3856,
+          2.4392,
+          2.475,
+          2.4989,
+          2.5182,
+          2.5308,
+          2.5385,
+          2.5428,
+          2.5447,
+          2.5467,
+          2.55,
+          2.5506
+        ]
+      ],
+      "source_file": {
+        "path": "/scratch/yurenh2/imperfect-learning-physical-systems-v1.0.1/maguzj-imperfect-learning-physical-systems-71b8d72/small network/experimental_bowties/bowtie-exp3-1.592s.csv",
+        "sha256": "84d1aa7e17a7ce66d3d81c1ec49e04f9930a12bbfb9eae7bcac4ef877319d725"
+      }
+    }
+  ],
+  "summary": {
+    "combined_error_log_slope_mean": 0.10887291721453206,
+    "combined_error_log_slopes": [
+      0.061871046531009194,
+      0.2882539659321607,
+      -0.02350626081957371
+    ],
+    "span_squared_log_slope_mean": 1.8400507296318658,
+    "span_squared_log_slopes": [
+      1.8373743444902582,
+      1.7359736925037077,
+      1.9468041519016315
+    ],
+    "span_log_slope_mean": 0.9200253648159329,
+    "descriptive_plateau_check_abs_error_slope_below_0p4": true,
+    "descriptive_linear_drift_check_span2_slope_1p5_to_2p3": true
+  }
+}